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This lesson focuses on solving basic logarithmic equations. To find the value of x in log base 2 of 16 is equal to x, we convert it to exponential form (2^x = 16), leading to x=4. Another method is to use log of 16 divided by log of 2, which also equals 4. For log base x of 81 is equal to 4, we convert it to x^4 = 81 and find x=3. Lastly, for log base 5 of x is equal to 3, we convert it to 5^3 = x, resulting in x=125.